Hennelly, Bryan M.Bryan M.HennellyKelly, Damien P.Damien P.KellySheridan, John T.John T.Sheridan2012-01-052012-01-052004 Optic2004-03-01Optics Letters0146-95921539-4794http://hdl.handle.net/10197/3421The relationship between optical fractional Fourier transforms (OFRTs) obtained at different wavelengths is derived by use of the ABCD matrix formalism. It is shown that varying the wavelength while retaining the same optical system can be used to control the order of the OFRT. The advantage of this method of varying OFRT order is that no variation in the characteristics of the bulk optics is required. A general experimental verification of the theory is provided by showing the exact equivalence of two OFRT systems of different order when they are replayed using the same input function at different wavelengths.330247 bytes1072 bytesapplication/pdftext/plainenThis paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=OL-29-5-427. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.Fourier transform opticsSignal processingJournal Article29542742910.1364/OL.29.000427https://creativecommons.org/licenses/by-nc-sa/1.0/